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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Pelczynski's property (V*) for symmetric operator spaces

Author: Narcisse Randrianantoanina
Journal: Proc. Amer. Math. Soc. 125 (1997), 801-806
MSC (1991): Primary 46E40; Secondary 47D15, 28B05
MathSciNet review: 1353396
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Abstract: We show that if a rearrangement invariant Banach function space $E$ on the positive semi-axis contains no subspace isomorphic to $c_0$ then the corresponding space $E({\cal M} )$ of $\tau $-measurable operators, affiliated with an arbitrary semifinite von-Neumann algebra ${\cal M} $ equipped with a distinguished faithful, normal and semifinite trace $\tau $, has Pe{\l}czy\'{n}ski's property (V*).

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Additional Information

Narcisse Randrianantoanina
Affiliation: Department of Mathematics, The University of Texas at Austin, Austin, Texas 78712-1082
Address at time of publication: Department of Mathematics and Statistics, Miami University, Oxford, Ohio 45056

Keywords: von-Neumann algebras, weakly compact sets
Received by editor(s): June 26, 1995
Received by editor(s) in revised form: September 8, 1995
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1997 American Mathematical Society